2732030400 has 336 divisors, whose sum is σ = 9955255680. Its totient is φ = 650342400.

The previous prime is 2732030351. The next prime is 2732030437. The reversal of 2732030400 is 40302372.

It is a happy number.

2732030400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3114762 + ... + 3115638.

Almost surely, 2^2732030400 is an apocalyptic number.

2732030400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2732030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977627840).

2732030400 is an abundant number, since it is smaller than the sum of its proper divisors (7223225280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2732030400 is a wasteful number, since it uses less digits than its factorization.

2732030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 2732030400 is about 52268.8281865970. The cubic root of 2732030400 is about 1397.9613866507.

Adding to 2732030400 its reverse (40302372), we get a palindrome (2772332772).

The spelling of 2732030400 in words is "two billion, seven hundred thirty-two million, thirty thousand, four hundred".